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Finding the Fourth Proportional to 8,266.34, 12,371.83 and 6,785.51

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Solution

The fourth proportional to 8,266.34, 12,371.83 and 6,785.51 is: 10,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.34 : 12,371.83 = 6,785.51 : x
  2. Step 2: Convert to fraction form
    8,266.34/12,371.83 = 6,785.51/x
  3. Step 3: Cross multiply
    8,266.34x = 12,371.83 × 6,785.51
  4. Step 4: Simplify right side
    8,266.34x = 83,949,097.36
  5. Step 5: Solve for x
    x = 83,949,097.36/8,266.34
  6. Step 6: Final answer
    x = 10,155.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.